this paper, we present a domain decomposition method, based on the general theory of Steklov-Poincare operators, for a class of linear exterior boundary value problems arising in potential theory and heat conductivity. We first use a Dirichlet-to-Neumann mapping, derived from boundary integral equat
On exterior boundary value problems in linear elasticity
β Scribed by R. J. Duffin; Walter Noll
- Publisher
- Springer
- Year
- 1958
- Tongue
- English
- Weight
- 291 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
Communicated by P. Werner ## Dedicated to Rolf Leis We use Hodge-Helmholtz decompositions of weighted Sobolev spaces to solve time-harmonic exteriorboundary value problems for perturbations of the (a d#bd )-system ( : the co-differential, a, b'0). We prove, that a Fredholm alternative holds true,
## Abstract In threeβdimensional LorentzβMinkowski space π^3^, we consider a spacelike plane Ξ and a round disc Ξ© over Ξ . In this article we seek the shapes of unbounded surfaces whose boundary is __β__ Ξ© and its mean curvature is a linear function of the distance to Ξ . These surfaces, called stati